Holographic Algorithms by Fibonacci Gates and Holographic Reductions for Hardness

  • Authors:
  • Jin-Yi Cai;Pinyan Lu;Mingji Xia

  • Affiliations:
  • -;-;-

  • Venue:
  • FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2008

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Abstract

We propose a new method to prove complexity dichotomy theorems. First we introduce Fibonacci gates which provide a new class of polynomial time holographic algorithms. Then we develop holographic reductions. We show that holographic reductions followed by interpolations provide a uniform strategy to prove \#P-hardness.